Answer:
39 + 5d
Step-by-step explanation:
First multiply 5 by 9 and 5 by d then subtract 6 from 45 (which you get from multiplying 5 by 9) and you get 39 and multiply 5 by d so you get 39 + 5d
$7881.18
Step-by-step explanation:
Let the initial Investment be
. The Interest is compounded on a monthly basis at 12% annual interest rate. After 17 years, the Investment amounts to $60,000.
As the annual interest rate is 12%, the monthly interest rate is 1%.
Since this is a compound interest problem, the total amount can be modeled as follows: 
Here
is the interest rate, i.e
, and t is the number of time periods, i.e
= 


∴ Initial Investment = $7881.18
Answer: Domain =
Range = 
Step-by-step explanation:
Here, the given function,

Since log( negative number ) = not defined
Also,

Hence, f(x) is defined if x - 1 > 0
⇒ x > 1
Thus, f(x) is defined for all the values that are greater than 1,
⇒ Domain of f(x) = All real number greater than 1,
= 
Now, for the interval
,
f(x) can be any real number.
Thus, the range of the given function = 
The answer is C because when you have similar radicals, you subtract the whole numbers. In this case 3 square root of 2 minus square root of 2, is doing 3 - 1 = 2.
2 square root of 2
Hi!
The guess and check method is where we fill in the values and check to see if it is correct.
A. x = 6
2 · 6 + 8 = 6 · 6 - 12
Solve
12 + 8 = 36 - 12
20 = 24
Incorrect.
B. x = 4
2 · 4 + 8 = 6 · 4 - 12
Solve
8 + 8 = 24 - 12
16 = 12
Incorrect.
C. x = 3
2 · 3 + 8 = 6 · 3 - 12
Solve.
6 + 8 = 18 - 12
14 = 6
Incorrect.
D. x = 5
2 · 5 + 8 = 6 · 5 - 12
Solve.
10 + 8 = 30 - 12
18 = 18
Correct!
The answer is D. x = 5
Hope this helps! :)
-Peredhel